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10x^{2}-15x+7
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10x^{2}-15x+7
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6x^{2}-2x+9x-3+\left(x-5\right)\left(4x-2\right)
Apply the distributive property by multiplying each term of 2x+3 by each term of 3x-1.
6x^{2}+7x-3+\left(x-5\right)\left(4x-2\right)
Combine -2x and 9x to get 7x.
6x^{2}+7x-3+4x^{2}-2x-20x+10
Apply the distributive property by multiplying each term of x-5 by each term of 4x-2.
6x^{2}+7x-3+4x^{2}-22x+10
Combine -2x and -20x to get -22x.
10x^{2}+7x-3-22x+10
Combine 6x^{2} and 4x^{2} to get 10x^{2}.
10x^{2}-15x-3+10
Combine 7x and -22x to get -15x.
10x^{2}-15x+7
Add -3 and 10 to get 7.
6x^{2}-2x+9x-3+\left(x-5\right)\left(4x-2\right)
Apply the distributive property by multiplying each term of 2x+3 by each term of 3x-1.
6x^{2}+7x-3+\left(x-5\right)\left(4x-2\right)
Combine -2x and 9x to get 7x.
6x^{2}+7x-3+4x^{2}-2x-20x+10
Apply the distributive property by multiplying each term of x-5 by each term of 4x-2.
6x^{2}+7x-3+4x^{2}-22x+10
Combine -2x and -20x to get -22x.
10x^{2}+7x-3-22x+10
Combine 6x^{2} and 4x^{2} to get 10x^{2}.
10x^{2}-15x-3+10
Combine 7x and -22x to get -15x.
10x^{2}-15x+7
Add -3 and 10 to get 7.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}